Marcinkiewicz Integrals Associated with Schrödinger Operator on Campanato Type Spaces

Abstract

The boundedness of the Marcinkiewicz integrals associated with Schrödinger operator from the localized Morrey-Campanato space to the localized Morrey-Campanato-BLO space is established. Similar results for the Marcinkiewicz integrals associated with the Schrödinger operator with rough kernels were also investigated.

Keywords

Marcinkiewicz integral / Schrödinger operator / Localized Morrey-Campanato space / Localized Morrey-Campanato-BLO space / Dini condition / 42B20 / 42B25

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